Model Predictive Control of Hybrid Systems

Impulsive systems are a class of hybrid systems with continuous-time states, the flow, that are exposed to discrete changeovers in time, called jumps. Publications of MPC for impulsive systems were formalized mainly for impulsive linear systems (ILS), and most works have the presence of the period between two successive jumps constant and fixed a priori. This research proposes an MPC that also schedules the optimal jumps at arbitrary discrete times, generating non-periodic jumps. To this end, the considered impulsive system is reformulated as a mixed-logical dynamic (MLD) system. ILS with non-fixed jump times are important due to their ability to model i.a. cyber-physical systems, as for instance multi-agent communication systems.

• To investigate different classes of impulsive linear systems, for instance with control input in the flow and/or in the jumps, and containing a minimum-dwell time condition for the moments of jump.
• To achieve stabilization of the impulsive systems by the optimal inputs and moments of jumps calculated by an MPC.
• To do analysis and synthesis of controlled impulsive invariant sets by the feedback loop if the flow has the presence of inputs or calculating a maximal dwell-time condition otherwise.
• To formalize and study robustness for the adopted classes of impulsive systems.
• To apply and evaluate the developed methods in different applications, for example in multi-agent communication systems.
  
  

Mixed-Integer Model Predictive Control of Hybrid Impulsive Linear Systems.
21th World Congress of the International Federation of Automatic Control (IFAC), Berlin, Germany, July 2020.
N. Bajcinca, M.V.A. Pedrosa, V. Yfantis.

Impulsive systems
Hybrid systems
Model Predictive Control
Mixed-logic dynamics

Prof. Naim Bajcinca
Gottlieb-Daimler-Str. 42
67663, Kaiserslautern
Phone: +49 (0)631/205-3230
Fax: +49 (0)631/205-4201
naim.bajcinca@mv.uni-kl.de

State of Rhineland-Palatinate

Since 2019

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